On the Pila-Wilkie theorem
arXiv:2010.14046 · doi:10.1016/j.exmath.2022.03.001
Abstract
This expository paper gives an account of the Pila-Wilkie counting theorem and some of its extensions and generalizations. We use semialgebraic cell decomposition to simplify part of the original proof. We also include complete treatments of a result due to Pila and Bombieri and of the o-minimal Yomdin-Gromov theorem that are used in this proof. For the latter we follow Binyamini and Novikov.
43 pages